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Entropy measures for hesitant fuzzy sets and their application in multi-criteria decision-making

TitleEntropy measures for hesitant fuzzy sets and their application in multi-criteria decision-making
Publication TypeInternational Journal
Year of Publication2016
AuthorsC. Wei, F. Yan and R. M. Rodríguez
JournalJournal of Intelligent & Fuzzy Systems
Volume31
Pagination673-685
Date Published2016
PublisherIOS Press
ISSN Number1875-8967
Keywordsentropy measure, hesitant fuzzy set, multicriteria decision-making
Abstract

Entropy is used to measure the uncertain degree of fuzzy sets and has been widely used in many fields. This
paper introduces an axiomatic definition of entropy measure and a novel entropy formula for hesitant fuzzy elements (HFEs).
Afterwards, a general form of entropy measures for HFEs is proposed, from which a family of concrete entropy formulas for
HFEs can be derived. Compared with the existing ones, these formulas can measure both fuzziness and hesitation of HFEs,
as a result, the uncertain information can be described in a more appropriate manner. The proposed axiomatic definition
and entropy formulas are used to define the entropy measure for hesitant fuzzy sets. A multi-criteria decision making model
which uses the proposed entropy measures for HFEs to compute the criteria weights and obtain a ranking of alternatives is
introduced.

DOI10.3233/IFS-2180
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